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Finding the Third Proportional to 10.31 and 22.41

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Solution

The third proportional to 10.31 and 22.41 is: 48.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.31 : 22.41 = 22.41 : x
  2. Step 2: Convert to fraction form
    10.31/22.41 = 22.41/x
  3. Step 3: Cross multiply
    10.31x = 22.41 × 22.41
  4. Step 4: Simplify right side
    10.31x = 502.04
  5. Step 5: Solve for x
    x = 502.04/10.31
  6. Step 6: Final answer
    x = 48.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.